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Finding the Fourth Proportional to 3,853.36, 5,314.92 and 3,724.80

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Solution

The fourth proportional to 3,853.36, 5,314.92 and 3,724.80 is: 5,137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.36 : 5,314.92 = 3,724.80 : x
  2. Step 2: Convert to fraction form
    3,853.36/5,314.92 = 3,724.80/x
  3. Step 3: Cross multiply
    3,853.36x = 5,314.92 × 3,724.80
  4. Step 4: Simplify right side
    3,853.36x = 19,797,014.02
  5. Step 5: Solve for x
    x = 19,797,014.02/3,853.36
  6. Step 6: Final answer
    x = 5,137.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.